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Finding the Fourth Proportional to 3,139.19, 4,709.50 and 1,384.69

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Solution

The fourth proportional to 3,139.19, 4,709.50 and 1,384.69 is: 2,077.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.19 : 4,709.50 = 1,384.69 : x
  2. Step 2: Convert to fraction form
    3,139.19/4,709.50 = 1,384.69/x
  3. Step 3: Cross multiply
    3,139.19x = 4,709.50 × 1,384.69
  4. Step 4: Simplify right side
    3,139.19x = 6,521,197.56
  5. Step 5: Solve for x
    x = 6,521,197.56/3,139.19
  6. Step 6: Final answer
    x = 2,077.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.